Author(s):
1. Thatayaone Moakofi:
Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Botswana
2. Broderick Oluyede:
Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Botswana
3. Fastel Chipepa:
Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Botswana
Abstract:
This paper aims to develop a new class of distributions, namely, type II exponentiated half-logistic Topp-LeoneG power series (TIIEHL-TL-GPS) class of distributions. Some important properties including moments, quantiles, moment generating function, entropy and maximum likelihood estimates are derived. A simulation study is conducted to evaluate the consistency of the maximum likelihood estimates. We also present three real data examples to illustrate the usefulness of the new class of distributions. Results show that the proposed model performs better than nested and several non-nested models on selected data sets.
Page(s):
885-909
Published:
Journal: Pakistan Journal of Statistics and Operation Research, Volume: 17, Issue: 4, Year: 2021
Keywords:
maximum likelihood estimation
,
ToppLeone
,
Logarithmic Distribution
,
Power Series
References:
References are not available for this document.
Citations
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